Optimality Conditions for Metrically Consistent Approximate Solutions in Vector Optimization

被引：0
作者：
C. Gutiérrez
B. Jiménez
V. Novo
机构：
[1] Universidad de Valladolid,Departamento de Matemática Aplicada
[2] Universidad Nacional de Educación a Distancia,Departamento de Matemática Aplicada
来源：
Journal of Optimization Theory and Applications | 2007年 / 133卷
关键词：
Vector optimization; -Efficiency; Scalarization; Gauge functionals; Generalized Chebyshev norms;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, approximate solutions of vector optimization problems are analyzed via a metrically consistent ε-efficient concept. Several properties of the ε-efficient set are studied. By scalarization, necessary and sufficient conditions for approximate solutions of convex and nonconvex vector optimization problems are provided; a characterization is obtained via generalized Chebyshev norms, attaining the same precision in the vector problem as in the scalarization.
引用
收藏
页码：49 / 64
页数：15
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